Multiply Using the Rule for the Product of the Sum $$\left( 4 x y ^ { 2 } + 10 x \right) \left( 4 x y ^ { 2 } - 10 x \right)$$

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $$\left( 4 x y ^ { 2 } + 10 x \right) \left( 4 x y ^ { 2 } - 10 x \right)$$

A) $8 x ^ { 2 } y ^ { 4 } - 80 x ^ { 2 } y ^ { 4 } - 20 x ^ { 2 }$
B) $16 x ^ { 2 } y ^ { 4 } - 100 x ^ { 2 }$
C) $8 x ^ { 2 } y ^ { 4 } - 20 x ^ { 2 }$
D) $16 x ^ { 2 } y ^ { 4 } - 80 x ^ { 2 } y ^ { 4 } - 100 x ^ { 2 }$